What is the Least Common Multiple of 38720 and 38740?

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 38720 and 38740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38720 and 38740, than apply into the LCM equation.

GCF(38720,38740) = 20
LCM(38720,38740) = ( 38720 × 38740) / 20
LCM(38720,38740) = 1500012800 / 20
LCM(38720,38740) = 75000640

Least Common Multiple (LCM) of 38720 and 38740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38720 and 38740. First we will calculate the prime factors of 38720 and 38740.

Prime Factorization of 38720

Prime Factorization of 38740

Now multiplying the highest exponent prime factors to calculate the LCM of 38720 and 38740.

LCM(38720,38740) = 2⁶ × 5¹ × 11² × 13¹ × 149¹
LCM(38720,38740) = 75000640