What is the Least Common Multiple of 70231 and 70240?
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 70231 and 70240 is 4933025440.
LCM(70231,70240) = 4933025440
Least Common Multiple of 70231 and 70240 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70231 and 70240, than apply into the LCM equation.
GCF(70231,70240) = 1
LCM(70231,70240) = ( 70231 × 70240) / 1
LCM(70231,70240) = 4933025440 / 1
LCM(70231,70240) = 4933025440
Least Common Multiple (LCM) of 70231 and 70240 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70231 and 70240. First we will calculate the prime factors of 70231 and 70240.
Prime Factorization of 70231
Prime factors of 70231 are 7, 79, 127. Prime factorization of 70231 in exponential form is:
70231 = 71 × 791 × 1271
Prime Factorization of 70240
Prime factors of 70240 are 2, 5, 439. Prime factorization of 70240 in exponential form is:
70240 = 25 × 51 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 70231 and 70240.
LCM(70231,70240) = 71 × 791 × 1271 × 25 × 51 × 4391
LCM(70231,70240) = 4933025440
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