What is the Least Common Multiple of 54656 and 54670?

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 54656 and 54670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54656 and 54670, than apply into the LCM equation.

GCF(54656,54670) = 14
LCM(54656,54670) = ( 54656 × 54670) / 14
LCM(54656,54670) = 2988043520 / 14
LCM(54656,54670) = 213431680

Least Common Multiple (LCM) of 54656 and 54670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54656 and 54670. First we will calculate the prime factors of 54656 and 54670.

Prime Factorization of 54656

Prime Factorization of 54670

Now multiplying the highest exponent prime factors to calculate the LCM of 54656 and 54670.

LCM(54656,54670) = 2⁷ × 7¹ × 61¹ × 5¹ × 11¹ × 71¹
LCM(54656,54670) = 213431680