What is the Least Common Multiple of 48423 and 48437?

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 48423 and 48437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48423 and 48437, than apply into the LCM equation.

GCF(48423,48437) = 1
LCM(48423,48437) = ( 48423 × 48437) / 1
LCM(48423,48437) = 2345464851 / 1
LCM(48423,48437) = 2345464851

Least Common Multiple (LCM) of 48423 and 48437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48423 and 48437. First we will calculate the prime factors of 48423 and 48437.

Prime Factorization of 48423

Prime Factorization of 48437

Now multiplying the highest exponent prime factors to calculate the LCM of 48423 and 48437.

LCM(48423,48437) = 3¹ × 16141¹ × 48437¹
LCM(48423,48437) = 2345464851