What is the Least Common Multiple of 56880 and 56892?

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 56880 and 56892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56880 and 56892, than apply into the LCM equation.

GCF(56880,56892) = 12
LCM(56880,56892) = ( 56880 × 56892) / 12
LCM(56880,56892) = 3236016960 / 12
LCM(56880,56892) = 269668080

Least Common Multiple (LCM) of 56880 and 56892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56880 and 56892. First we will calculate the prime factors of 56880 and 56892.

Prime Factorization of 56880

Prime Factorization of 56892

Now multiplying the highest exponent prime factors to calculate the LCM of 56880 and 56892.

LCM(56880,56892) = 2⁴ × 3² × 5¹ × 79¹ × 11¹ × 431¹
LCM(56880,56892) = 269668080