What is the Least Common Multiple of 79755 and 79771?

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 79755 and 79771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79755 and 79771, than apply into the LCM equation.

GCF(79755,79771) = 1
LCM(79755,79771) = ( 79755 × 79771) / 1
LCM(79755,79771) = 6362136105 / 1
LCM(79755,79771) = 6362136105

Least Common Multiple (LCM) of 79755 and 79771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79755 and 79771. First we will calculate the prime factors of 79755 and 79771.

Prime Factorization of 79755

Prime Factorization of 79771

Now multiplying the highest exponent prime factors to calculate the LCM of 79755 and 79771.

LCM(79755,79771) = 3¹ × 5¹ × 13¹ × 409¹ × 241¹ × 331¹
LCM(79755,79771) = 6362136105