What is the Least Common Multiple of 77028 and 77043?

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 77028 and 77043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77028 and 77043, than apply into the LCM equation.

GCF(77028,77043) = 3
LCM(77028,77043) = ( 77028 × 77043) / 3
LCM(77028,77043) = 5934468204 / 3
LCM(77028,77043) = 1978156068

Least Common Multiple (LCM) of 77028 and 77043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77028 and 77043. First we will calculate the prime factors of 77028 and 77043.

Prime Factorization of 77028

Prime Factorization of 77043

Now multiplying the highest exponent prime factors to calculate the LCM of 77028 and 77043.

LCM(77028,77043) = 2² × 3¹ × 7² × 131¹ × 61¹ × 421¹
LCM(77028,77043) = 1978156068