What is the Least Common Multiple of 56080 and 56092?

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 56080 and 56092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56080 and 56092, than apply into the LCM equation.

GCF(56080,56092) = 4
LCM(56080,56092) = ( 56080 × 56092) / 4
LCM(56080,56092) = 3145639360 / 4
LCM(56080,56092) = 786409840

Least Common Multiple (LCM) of 56080 and 56092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56080 and 56092. First we will calculate the prime factors of 56080 and 56092.

Prime Factorization of 56080

Prime Factorization of 56092

Now multiplying the highest exponent prime factors to calculate the LCM of 56080 and 56092.

LCM(56080,56092) = 2⁴ × 5¹ × 701¹ × 37¹ × 379¹
LCM(56080,56092) = 786409840