What is the Least Common Multiple of 73680 and 73688?

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 73680 and 73688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73680 and 73688, than apply into the LCM equation.

GCF(73680,73688) = 8
LCM(73680,73688) = ( 73680 × 73688) / 8
LCM(73680,73688) = 5429331840 / 8
LCM(73680,73688) = 678666480

Least Common Multiple (LCM) of 73680 and 73688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73680 and 73688. First we will calculate the prime factors of 73680 and 73688.

Prime Factorization of 73680

Prime Factorization of 73688

Now multiplying the highest exponent prime factors to calculate the LCM of 73680 and 73688.

LCM(73680,73688) = 2⁴ × 3¹ × 5¹ × 307¹ × 61¹ × 151¹
LCM(73680,73688) = 678666480