What is the Least Common Multiple of 45272 and 45278?
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 45272 and 45278 is 1024912808.
LCM(45272,45278) = 1024912808
Least Common Multiple of 45272 and 45278 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45272 and 45278, than apply into the LCM equation.
GCF(45272,45278) = 2
LCM(45272,45278) = ( 45272 × 45278) / 2
LCM(45272,45278) = 2049825616 / 2
LCM(45272,45278) = 1024912808
Least Common Multiple (LCM) of 45272 and 45278 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45272 and 45278. First we will calculate the prime factors of 45272 and 45278.
Prime Factorization of 45272
Prime factors of 45272 are 2, 5659. Prime factorization of 45272 in exponential form is:
45272 = 23 × 56591
Prime Factorization of 45278
Prime factors of 45278 are 2, 22639. Prime factorization of 45278 in exponential form is:
45278 = 21 × 226391
Now multiplying the highest exponent prime factors to calculate the LCM of 45272 and 45278.
LCM(45272,45278) = 23 × 56591 × 226391
LCM(45272,45278) = 1024912808
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