What is the Least Common Multiple of 56875 and 56890?

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 56875 and 56890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56875 and 56890, than apply into the LCM equation.

GCF(56875,56890) = 5
LCM(56875,56890) = ( 56875 × 56890) / 5
LCM(56875,56890) = 3235618750 / 5
LCM(56875,56890) = 647123750

Least Common Multiple (LCM) of 56875 and 56890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56875 and 56890. First we will calculate the prime factors of 56875 and 56890.

Prime Factorization of 56875

Prime Factorization of 56890

Now multiplying the highest exponent prime factors to calculate the LCM of 56875 and 56890.

LCM(56875,56890) = 5⁴ × 7¹ × 13¹ × 2¹ × 5689¹
LCM(56875,56890) = 647123750