What is the Least Common Multiple of 54960 and 54964?

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 54960 and 54964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54960 and 54964, than apply into the LCM equation.

GCF(54960,54964) = 4
LCM(54960,54964) = ( 54960 × 54964) / 4
LCM(54960,54964) = 3020821440 / 4
LCM(54960,54964) = 755205360

Least Common Multiple (LCM) of 54960 and 54964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54960 and 54964. First we will calculate the prime factors of 54960 and 54964.

Prime Factorization of 54960

Prime Factorization of 54964

Now multiplying the highest exponent prime factors to calculate the LCM of 54960 and 54964.

LCM(54960,54964) = 2⁴ × 3¹ × 5¹ × 229¹ × 7¹ × 13¹ × 151¹
LCM(54960,54964) = 755205360