What is the Least Common Multiple of 76630 and 76645?

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 76630 and 76645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76630 and 76645, than apply into the LCM equation.

GCF(76630,76645) = 5
LCM(76630,76645) = ( 76630 × 76645) / 5
LCM(76630,76645) = 5873306350 / 5
LCM(76630,76645) = 1174661270

Least Common Multiple (LCM) of 76630 and 76645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76630 and 76645. First we will calculate the prime factors of 76630 and 76645.

Prime Factorization of 76630

Prime Factorization of 76645

Now multiplying the highest exponent prime factors to calculate the LCM of 76630 and 76645.

LCM(76630,76645) = 2¹ × 5¹ × 79¹ × 97¹ × 15329¹
LCM(76630,76645) = 1174661270