What is the Least Common Multiple of 57949 and 57968?

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 57949 and 57968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57949 and 57968, than apply into the LCM equation.

GCF(57949,57968) = 1
LCM(57949,57968) = ( 57949 × 57968) / 1
LCM(57949,57968) = 3359187632 / 1
LCM(57949,57968) = 3359187632

Least Common Multiple (LCM) of 57949 and 57968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57949 and 57968. First we will calculate the prime factors of 57949 and 57968.

Prime Factorization of 57949

Prime Factorization of 57968

Now multiplying the highest exponent prime factors to calculate the LCM of 57949 and 57968.

LCM(57949,57968) = 167¹ × 347¹ × 2⁴ × 3623¹
LCM(57949,57968) = 3359187632