What is the Least Common Multiple of 73842 and 73862?

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 73842 and 73862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73842 and 73862, than apply into the LCM equation.

GCF(73842,73862) = 2
LCM(73842,73862) = ( 73842 × 73862) / 2
LCM(73842,73862) = 5454117804 / 2
LCM(73842,73862) = 2727058902

Least Common Multiple (LCM) of 73842 and 73862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73842 and 73862. First we will calculate the prime factors of 73842 and 73862.

Prime Factorization of 73842

Prime Factorization of 73862

Now multiplying the highest exponent prime factors to calculate the LCM of 73842 and 73862.

LCM(73842,73862) = 2¹ × 3¹ × 31¹ × 397¹ × 36931¹
LCM(73842,73862) = 2727058902