What is the Least Common Multiple of 72874 and 72884?

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 72874 and 72884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72874 and 72884, than apply into the LCM equation.

GCF(72874,72884) = 2
LCM(72874,72884) = ( 72874 × 72884) / 2
LCM(72874,72884) = 5311348616 / 2
LCM(72874,72884) = 2655674308

Least Common Multiple (LCM) of 72874 and 72884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72874 and 72884. First we will calculate the prime factors of 72874 and 72884.

Prime Factorization of 72874

Prime Factorization of 72884

Now multiplying the highest exponent prime factors to calculate the LCM of 72874 and 72884.

LCM(72874,72884) = 2² × 83¹ × 439¹ × 7¹ × 19¹ × 137¹
LCM(72874,72884) = 2655674308