What is the Least Common Multiple of 77115 and 77135?

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 77115 and 77135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77115 and 77135, than apply into the LCM equation.

GCF(77115,77135) = 5
LCM(77115,77135) = ( 77115 × 77135) / 5
LCM(77115,77135) = 5948265525 / 5
LCM(77115,77135) = 1189653105

Least Common Multiple (LCM) of 77115 and 77135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77115 and 77135. First we will calculate the prime factors of 77115 and 77135.

Prime Factorization of 77115

Prime Factorization of 77135

Now multiplying the highest exponent prime factors to calculate the LCM of 77115 and 77135.

LCM(77115,77135) = 3¹ × 5¹ × 53¹ × 97¹ × 15427¹
LCM(77115,77135) = 1189653105