What is the Least Common Multiple of 77872 and 77885?

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 77872 and 77885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77872 and 77885, than apply into the LCM equation.

GCF(77872,77885) = 1
LCM(77872,77885) = ( 77872 × 77885) / 1
LCM(77872,77885) = 6065060720 / 1
LCM(77872,77885) = 6065060720

Least Common Multiple (LCM) of 77872 and 77885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77872 and 77885. First we will calculate the prime factors of 77872 and 77885.

Prime Factorization of 77872

Prime Factorization of 77885

Now multiplying the highest exponent prime factors to calculate the LCM of 77872 and 77885.

LCM(77872,77885) = 2⁴ × 31¹ × 157¹ × 5¹ × 37¹ × 421¹
LCM(77872,77885) = 6065060720