What is the Least Common Multiple of 35680 and 35692?

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 35680 and 35692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35680 and 35692, than apply into the LCM equation.

GCF(35680,35692) = 4
LCM(35680,35692) = ( 35680 × 35692) / 4
LCM(35680,35692) = 1273490560 / 4
LCM(35680,35692) = 318372640

Least Common Multiple (LCM) of 35680 and 35692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35680 and 35692. First we will calculate the prime factors of 35680 and 35692.

Prime Factorization of 35680

Prime Factorization of 35692

Now multiplying the highest exponent prime factors to calculate the LCM of 35680 and 35692.

LCM(35680,35692) = 2⁵ × 5¹ × 223¹ × 8923¹
LCM(35680,35692) = 318372640