What is the Least Common Multiple of 76646 and 76665?

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 76646 and 76665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76646 and 76665, than apply into the LCM equation.

GCF(76646,76665) = 19
LCM(76646,76665) = ( 76646 × 76665) / 19
LCM(76646,76665) = 5876065590 / 19
LCM(76646,76665) = 309266610

Least Common Multiple (LCM) of 76646 and 76665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76646 and 76665. First we will calculate the prime factors of 76646 and 76665.

Prime Factorization of 76646

Prime Factorization of 76665

Now multiplying the highest exponent prime factors to calculate the LCM of 76646 and 76665.

LCM(76646,76665) = 2¹ × 19¹ × 2017¹ × 3¹ × 5¹ × 269¹
LCM(76646,76665) = 309266610