What is the Least Common Multiple of 73738 and 73748?

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 73738 and 73748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73738 and 73748, than apply into the LCM equation.

GCF(73738,73748) = 2
LCM(73738,73748) = ( 73738 × 73748) / 2
LCM(73738,73748) = 5438030024 / 2
LCM(73738,73748) = 2719015012

Least Common Multiple (LCM) of 73738 and 73748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73738 and 73748. First we will calculate the prime factors of 73738 and 73748.

Prime Factorization of 73738

Prime Factorization of 73748

Now multiplying the highest exponent prime factors to calculate the LCM of 73738 and 73748.

LCM(73738,73748) = 2² × 7¹ × 23¹ × 229¹ × 103¹ × 179¹
LCM(73738,73748) = 2719015012