What is the Least Common Multiple of 45310 and 45318?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 45310 and 45318 is 1026679290.
LCM(45310,45318) = 1026679290
Least Common Multiple of 45310 and 45318 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45310 and 45318, than apply into the LCM equation.
GCF(45310,45318) = 2
LCM(45310,45318) = ( 45310 × 45318) / 2
LCM(45310,45318) = 2053358580 / 2
LCM(45310,45318) = 1026679290
Least Common Multiple (LCM) of 45310 and 45318 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45310 and 45318. First we will calculate the prime factors of 45310 and 45318.
Prime Factorization of 45310
Prime factors of 45310 are 2, 5, 23, 197. Prime factorization of 45310 in exponential form is:
45310 = 21 × 51 × 231 × 1971
Prime Factorization of 45318
Prime factors of 45318 are 2, 3, 7, 13, 83. Prime factorization of 45318 in exponential form is:
45318 = 21 × 31 × 71 × 131 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 45310 and 45318.
LCM(45310,45318) = 21 × 51 × 231 × 1971 × 31 × 71 × 131 × 831
LCM(45310,45318) = 1026679290
Related Least Common Multiples of 45310
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Related Least Common Multiples of 45318
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