What is the Least Common Multiple of 74620 and 74640?

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 74620 and 74640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74620 and 74640, than apply into the LCM equation.

GCF(74620,74640) = 20
LCM(74620,74640) = ( 74620 × 74640) / 20
LCM(74620,74640) = 5569636800 / 20
LCM(74620,74640) = 278481840

Least Common Multiple (LCM) of 74620 and 74640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74620 and 74640. First we will calculate the prime factors of 74620 and 74640.

Prime Factorization of 74620

Prime Factorization of 74640

Now multiplying the highest exponent prime factors to calculate the LCM of 74620 and 74640.

LCM(74620,74640) = 2⁴ × 5¹ × 7¹ × 13¹ × 41¹ × 3¹ × 311¹
LCM(74620,74640) = 278481840