What is the Least Common Multiple of 77652 and 77670?

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 77652 and 77670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77652 and 77670, than apply into the LCM equation.

GCF(77652,77670) = 18
LCM(77652,77670) = ( 77652 × 77670) / 18
LCM(77652,77670) = 6031230840 / 18
LCM(77652,77670) = 335068380

Least Common Multiple (LCM) of 77652 and 77670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77652 and 77670. First we will calculate the prime factors of 77652 and 77670.

Prime Factorization of 77652

Prime Factorization of 77670

Now multiplying the highest exponent prime factors to calculate the LCM of 77652 and 77670.

LCM(77652,77670) = 2² × 3³ × 719¹ × 5¹ × 863¹
LCM(77652,77670) = 335068380