What is the Least Common Multiple of 76520 and 76536?

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 76520 and 76536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76520 and 76536, than apply into the LCM equation.

GCF(76520,76536) = 8
LCM(76520,76536) = ( 76520 × 76536) / 8
LCM(76520,76536) = 5856534720 / 8
LCM(76520,76536) = 732066840

Least Common Multiple (LCM) of 76520 and 76536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76520 and 76536. First we will calculate the prime factors of 76520 and 76536.

Prime Factorization of 76520

Prime Factorization of 76536

Now multiplying the highest exponent prime factors to calculate the LCM of 76520 and 76536.

LCM(76520,76536) = 2³ × 5¹ × 1913¹ × 3² × 1063¹
LCM(76520,76536) = 732066840