What is the Least Common Multiple of 61387 and 61392?
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 61387 and 61392 is 3768670704.
LCM(61387,61392) = 3768670704
Least Common Multiple of 61387 and 61392 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61387 and 61392, than apply into the LCM equation.
GCF(61387,61392) = 1
LCM(61387,61392) = ( 61387 × 61392) / 1
LCM(61387,61392) = 3768670704 / 1
LCM(61387,61392) = 3768670704
Least Common Multiple (LCM) of 61387 and 61392 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61387 and 61392. First we will calculate the prime factors of 61387 and 61392.
Prime Factorization of 61387
Prime factors of 61387 are 17, 23, 157. Prime factorization of 61387 in exponential form is:
61387 = 171 × 231 × 1571
Prime Factorization of 61392
Prime factors of 61392 are 2, 3, 1279. Prime factorization of 61392 in exponential form is:
61392 = 24 × 31 × 12791
Now multiplying the highest exponent prime factors to calculate the LCM of 61387 and 61392.
LCM(61387,61392) = 171 × 231 × 1571 × 24 × 31 × 12791
LCM(61387,61392) = 3768670704
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