What is the Least Common Multiple of 70680 and 70692?

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 70680 and 70692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70680 and 70692, than apply into the LCM equation.

GCF(70680,70692) = 12
LCM(70680,70692) = ( 70680 × 70692) / 12
LCM(70680,70692) = 4996510560 / 12
LCM(70680,70692) = 416375880

Least Common Multiple (LCM) of 70680 and 70692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70680 and 70692. First we will calculate the prime factors of 70680 and 70692.

Prime Factorization of 70680

Prime Factorization of 70692

Now multiplying the highest exponent prime factors to calculate the LCM of 70680 and 70692.

LCM(70680,70692) = 2³ × 3¹ × 5¹ × 19¹ × 31¹ × 43¹ × 137¹
LCM(70680,70692) = 416375880