What is the Least Common Multiple of 74670 and 74685?

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 74670 and 74685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74670 and 74685, than apply into the LCM equation.

GCF(74670,74685) = 15
LCM(74670,74685) = ( 74670 × 74685) / 15
LCM(74670,74685) = 5576728950 / 15
LCM(74670,74685) = 371781930

Least Common Multiple (LCM) of 74670 and 74685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74670 and 74685. First we will calculate the prime factors of 74670 and 74685.

Prime Factorization of 74670

Prime Factorization of 74685

Now multiplying the highest exponent prime factors to calculate the LCM of 74670 and 74685.

LCM(74670,74685) = 2¹ × 3¹ × 5¹ × 19¹ × 131¹ × 13¹ × 383¹
LCM(74670,74685) = 371781930