What is the Least Common Multiple of 77947 and 77961?

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 77947 and 77961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77947 and 77961, than apply into the LCM equation.

GCF(77947,77961) = 1
LCM(77947,77961) = ( 77947 × 77961) / 1
LCM(77947,77961) = 6076826067 / 1
LCM(77947,77961) = 6076826067

Least Common Multiple (LCM) of 77947 and 77961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77947 and 77961. First we will calculate the prime factors of 77947 and 77961.

Prime Factorization of 77947

Prime Factorization of 77961

Now multiplying the highest exponent prime factors to calculate the LCM of 77947 and 77961.

LCM(77947,77961) = 23¹ × 3389¹ × 3¹ × 13¹ × 1999¹
LCM(77947,77961) = 6076826067