What is the Least Common Multiple of 72678 and 72686?

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 72678 and 72686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72678 and 72686, than apply into the LCM equation.

GCF(72678,72686) = 2
LCM(72678,72686) = ( 72678 × 72686) / 2
LCM(72678,72686) = 5282673108 / 2
LCM(72678,72686) = 2641336554

Least Common Multiple (LCM) of 72678 and 72686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72678 and 72686. First we will calculate the prime factors of 72678 and 72686.

Prime Factorization of 72678

Prime Factorization of 72686

Now multiplying the highest exponent prime factors to calculate the LCM of 72678 and 72686.

LCM(72678,72686) = 2¹ × 3¹ × 12113¹ × 36343¹
LCM(72678,72686) = 2641336554