What is the Least Common Multiple of 73664 and 73670?

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 73664 and 73670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73664 and 73670, than apply into the LCM equation.

GCF(73664,73670) = 2
LCM(73664,73670) = ( 73664 × 73670) / 2
LCM(73664,73670) = 5426826880 / 2
LCM(73664,73670) = 2713413440

Least Common Multiple (LCM) of 73664 and 73670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73664 and 73670. First we will calculate the prime factors of 73664 and 73670.

Prime Factorization of 73664

Prime Factorization of 73670

Now multiplying the highest exponent prime factors to calculate the LCM of 73664 and 73670.

LCM(73664,73670) = 2⁶ × 1151¹ × 5¹ × 53¹ × 139¹
LCM(73664,73670) = 2713413440