What is the Least Common Multiple of 87461 and 87472?

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 of 87461 and 87472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87461 and 87472, than apply into the LCM equation.

GCF(87461,87472) = 11
LCM(87461,87472) = ( 87461 × 87472) / 11
LCM(87461,87472) = 7650388592 / 11
LCM(87461,87472) = 695489872

Least Common Multiple (LCM) of 87461 and 87472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87461 and 87472. First we will calculate the prime factors of 87461 and 87472.

Prime Factorization of 87461

Prime Factorization of 87472

Now multiplying the highest exponent prime factors to calculate the LCM of 87461 and 87472.

LCM(87461,87472) = 11¹ × 7951¹ × 2⁴ × 7¹ × 71¹
LCM(87461,87472) = 695489872