What is the Least Common Multiple of 68680 and 68692?

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 68680 and 68692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68680 and 68692, than apply into the LCM equation.

GCF(68680,68692) = 4
LCM(68680,68692) = ( 68680 × 68692) / 4
LCM(68680,68692) = 4717766560 / 4
LCM(68680,68692) = 1179441640

Least Common Multiple (LCM) of 68680 and 68692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68680 and 68692. First we will calculate the prime factors of 68680 and 68692.

Prime Factorization of 68680

Prime Factorization of 68692

Now multiplying the highest exponent prime factors to calculate the LCM of 68680 and 68692.

LCM(68680,68692) = 2³ × 5¹ × 17¹ × 101¹ × 13¹ × 1321¹
LCM(68680,68692) = 1179441640