What is the Least Common Multiple of 77670 and 77685?

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 77670 and 77685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77670 and 77685, than apply into the LCM equation.

GCF(77670,77685) = 15
LCM(77670,77685) = ( 77670 × 77685) / 15
LCM(77670,77685) = 6033793950 / 15
LCM(77670,77685) = 402252930

Least Common Multiple (LCM) of 77670 and 77685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77670 and 77685. First we will calculate the prime factors of 77670 and 77685.

Prime Factorization of 77670

Prime Factorization of 77685

Now multiplying the highest exponent prime factors to calculate the LCM of 77670 and 77685.

LCM(77670,77685) = 2¹ × 3² × 5¹ × 863¹ × 5179¹
LCM(77670,77685) = 402252930