What is the Least Common Multiple of 73670 and 73687?

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 73687 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 73687, than apply into the LCM equation.

GCF(73670,73687) = 1
LCM(73670,73687) = ( 73670 × 73687) / 1
LCM(73670,73687) = 5428521290 / 1
LCM(73670,73687) = 5428521290

Least Common Multiple (LCM) of 73670 and 73687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73670 and 73687. First we will calculate the prime factors of 73670 and 73687.

Prime Factorization of 73670

Prime Factorization of 73687

Now multiplying the highest exponent prime factors to calculate the LCM of 73670 and 73687.

LCM(73670,73687) = 2¹ × 5¹ × 53¹ × 139¹ × 31¹ × 2377¹
LCM(73670,73687) = 5428521290