What is the Least Common Multiple of 56302 and 56307?

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 56302 and 56307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56302 and 56307, than apply into the LCM equation.

GCF(56302,56307) = 1
LCM(56302,56307) = ( 56302 × 56307) / 1
LCM(56302,56307) = 3170196714 / 1
LCM(56302,56307) = 3170196714

Least Common Multiple (LCM) of 56302 and 56307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56302 and 56307. First we will calculate the prime factors of 56302 and 56307.

Prime Factorization of 56302

Prime Factorization of 56307

Now multiplying the highest exponent prime factors to calculate the LCM of 56302 and 56307.

LCM(56302,56307) = 2¹ × 28151¹ × 3¹ × 137²
LCM(56302,56307) = 3170196714