What is the Least Common Multiple of 77109 and 77120?

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 77109 and 77120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77109 and 77120, than apply into the LCM equation.

GCF(77109,77120) = 1
LCM(77109,77120) = ( 77109 × 77120) / 1
LCM(77109,77120) = 5946646080 / 1
LCM(77109,77120) = 5946646080

Least Common Multiple (LCM) of 77109 and 77120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77109 and 77120. First we will calculate the prime factors of 77109 and 77120.

Prime Factorization of 77109

Prime Factorization of 77120

Now multiplying the highest exponent prime factors to calculate the LCM of 77109 and 77120.

LCM(77109,77120) = 3¹ × 25703¹ × 2⁶ × 5¹ × 241¹
LCM(77109,77120) = 5946646080