What is the Least Common Multiple of 73670 and 73685?

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 73670 and 73685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73670 and 73685, than apply into the LCM equation.

GCF(73670,73685) = 5
LCM(73670,73685) = ( 73670 × 73685) / 5
LCM(73670,73685) = 5428373950 / 5
LCM(73670,73685) = 1085674790

Least Common Multiple (LCM) of 73670 and 73685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73670 and 73685. First we will calculate the prime factors of 73670 and 73685.

Prime Factorization of 73670

Prime Factorization of 73685

Now multiplying the highest exponent prime factors to calculate the LCM of 73670 and 73685.

LCM(73670,73685) = 2¹ × 5¹ × 53¹ × 139¹ × 14737¹
LCM(73670,73685) = 1085674790