What is the Least Common Multiple of 77210 and 77215?

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 77210 and 77215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77210 and 77215, than apply into the LCM equation.

GCF(77210,77215) = 5
LCM(77210,77215) = ( 77210 × 77215) / 5
LCM(77210,77215) = 5961770150 / 5
LCM(77210,77215) = 1192354030

Least Common Multiple (LCM) of 77210 and 77215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77210 and 77215. First we will calculate the prime factors of 77210 and 77215.

Prime Factorization of 77210

Prime Factorization of 77215

Now multiplying the highest exponent prime factors to calculate the LCM of 77210 and 77215.

LCM(77210,77215) = 2¹ × 5¹ × 7¹ × 1103¹ × 15443¹
LCM(77210,77215) = 1192354030