What is the Least Common Multiple of 38946 and 38960?

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 38946 and 38960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38946 and 38960, than apply into the LCM equation.

GCF(38946,38960) = 2
LCM(38946,38960) = ( 38946 × 38960) / 2
LCM(38946,38960) = 1517336160 / 2
LCM(38946,38960) = 758668080

Least Common Multiple (LCM) of 38946 and 38960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38946 and 38960. First we will calculate the prime factors of 38946 and 38960.

Prime Factorization of 38946

Prime Factorization of 38960

Now multiplying the highest exponent prime factors to calculate the LCM of 38946 and 38960.

LCM(38946,38960) = 2⁴ × 3¹ × 6491¹ × 5¹ × 487¹
LCM(38946,38960) = 758668080