What is the Least Common Multiple of 48738 and 48748?

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 48738 and 48748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48738 and 48748, than apply into the LCM equation.

GCF(48738,48748) = 2
LCM(48738,48748) = ( 48738 × 48748) / 2
LCM(48738,48748) = 2375880024 / 2
LCM(48738,48748) = 1187940012

Least Common Multiple (LCM) of 48738 and 48748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48738 and 48748. First we will calculate the prime factors of 48738 and 48748.

Prime Factorization of 48738

Prime Factorization of 48748

Now multiplying the highest exponent prime factors to calculate the LCM of 48738 and 48748.

LCM(48738,48748) = 2² × 3¹ × 8123¹ × 7¹ × 1741¹
LCM(48738,48748) = 1187940012