What is the Least Common Multiple of 51680 and 51692?

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 51680 and 51692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51680 and 51692, than apply into the LCM equation.

GCF(51680,51692) = 4
LCM(51680,51692) = ( 51680 × 51692) / 4
LCM(51680,51692) = 2671442560 / 4
LCM(51680,51692) = 667860640

Least Common Multiple (LCM) of 51680 and 51692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51680 and 51692. First we will calculate the prime factors of 51680 and 51692.

Prime Factorization of 51680

Prime Factorization of 51692

Now multiplying the highest exponent prime factors to calculate the LCM of 51680 and 51692.

LCM(51680,51692) = 2⁵ × 5¹ × 17¹ × 19¹ × 12923¹
LCM(51680,51692) = 667860640