What is the Least Common Multiple of 76727 and 76740?

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 76727 and 76740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76727 and 76740, than apply into the LCM equation.

GCF(76727,76740) = 1
LCM(76727,76740) = ( 76727 × 76740) / 1
LCM(76727,76740) = 5888029980 / 1
LCM(76727,76740) = 5888029980

Least Common Multiple (LCM) of 76727 and 76740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76727 and 76740. First we will calculate the prime factors of 76727 and 76740.

Prime Factorization of 76727

Prime Factorization of 76740

Now multiplying the highest exponent prime factors to calculate the LCM of 76727 and 76740.

LCM(76727,76740) = 7¹ × 97¹ × 113¹ × 2² × 3¹ × 5¹ × 1279¹
LCM(76727,76740) = 5888029980