What is the Least Common Multiple of 77675 and 77690?

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 77675 and 77690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77675 and 77690, than apply into the LCM equation.

GCF(77675,77690) = 5
LCM(77675,77690) = ( 77675 × 77690) / 5
LCM(77675,77690) = 6034570750 / 5
LCM(77675,77690) = 1206914150

Least Common Multiple (LCM) of 77675 and 77690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77675 and 77690. First we will calculate the prime factors of 77675 and 77690.

Prime Factorization of 77675

Prime Factorization of 77690

Now multiplying the highest exponent prime factors to calculate the LCM of 77675 and 77690.

LCM(77675,77690) = 5² × 13¹ × 239¹ × 2¹ × 17¹ × 457¹
LCM(77675,77690) = 1206914150