What is the Least Common Multiple of 58660 and 58674?
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 58660 and 58674 is 245844060.
LCM(58660,58674) = 245844060
Least Common Multiple of 58660 and 58674 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58660 and 58674, than apply into the LCM equation.
GCF(58660,58674) = 14
LCM(58660,58674) = ( 58660 × 58674) / 14
LCM(58660,58674) = 3441816840 / 14
LCM(58660,58674) = 245844060
Least Common Multiple (LCM) of 58660 and 58674 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58660 and 58674. First we will calculate the prime factors of 58660 and 58674.
Prime Factorization of 58660
Prime factors of 58660 are 2, 5, 7, 419. Prime factorization of 58660 in exponential form is:
58660 = 22 × 51 × 71 × 4191
Prime Factorization of 58674
Prime factors of 58674 are 2, 3, 7, 11, 127. Prime factorization of 58674 in exponential form is:
58674 = 21 × 31 × 71 × 111 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 58660 and 58674.
LCM(58660,58674) = 22 × 51 × 71 × 4191 × 31 × 111 × 1271
LCM(58660,58674) = 245844060
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