What is the Least Common Multiple of 60872 and 60884?

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 60872 and 60884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60872 and 60884, than apply into the LCM equation.

GCF(60872,60884) = 4
LCM(60872,60884) = ( 60872 × 60884) / 4
LCM(60872,60884) = 3706130848 / 4
LCM(60872,60884) = 926532712

Least Common Multiple (LCM) of 60872 and 60884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60872 and 60884. First we will calculate the prime factors of 60872 and 60884.

Prime Factorization of 60872

Prime Factorization of 60884

Now multiplying the highest exponent prime factors to calculate the LCM of 60872 and 60884.

LCM(60872,60884) = 2³ × 7¹ × 1087¹ × 31¹ × 491¹
LCM(60872,60884) = 926532712