What is the Least Common Multiple of 73838 and 73852?

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 73838 and 73852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73838 and 73852, than apply into the LCM equation.

GCF(73838,73852) = 2
LCM(73838,73852) = ( 73838 × 73852) / 2
LCM(73838,73852) = 5453083976 / 2
LCM(73838,73852) = 2726541988

Least Common Multiple (LCM) of 73838 and 73852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73838 and 73852. First we will calculate the prime factors of 73838 and 73852.

Prime Factorization of 73838

Prime Factorization of 73852

Now multiplying the highest exponent prime factors to calculate the LCM of 73838 and 73852.

LCM(73838,73852) = 2² × 36919¹ × 37¹ × 499¹
LCM(73838,73852) = 2726541988