What is the Least Common Multiple of 73736 and 73749?

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 73736 and 73749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73736 and 73749, than apply into the LCM equation.

GCF(73736,73749) = 13
LCM(73736,73749) = ( 73736 × 73749) / 13
LCM(73736,73749) = 5437956264 / 13
LCM(73736,73749) = 418304328

Least Common Multiple (LCM) of 73736 and 73749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73736 and 73749. First we will calculate the prime factors of 73736 and 73749.

Prime Factorization of 73736

Prime Factorization of 73749

Now multiplying the highest exponent prime factors to calculate the LCM of 73736 and 73749.

LCM(73736,73749) = 2³ × 13¹ × 709¹ × 3¹ × 31¹ × 61¹
LCM(73736,73749) = 418304328