What is the Least Common Multiple of 73961 and 73968?

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 73961 and 73968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73961 and 73968, than apply into the LCM equation.

GCF(73961,73968) = 1
LCM(73961,73968) = ( 73961 × 73968) / 1
LCM(73961,73968) = 5470747248 / 1
LCM(73961,73968) = 5470747248

Least Common Multiple (LCM) of 73961 and 73968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73961 and 73968. First we will calculate the prime factors of 73961 and 73968.

Prime Factorization of 73961

Prime Factorization of 73968

Now multiplying the highest exponent prime factors to calculate the LCM of 73961 and 73968.

LCM(73961,73968) = 73961¹ × 2⁴ × 3¹ × 23¹ × 67¹
LCM(73961,73968) = 5470747248