What is the Least Common Multiple of 97956 and 97968?

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 97956 and 97968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97956 and 97968, than apply into the LCM equation.

GCF(97956,97968) = 12
LCM(97956,97968) = ( 97956 × 97968) / 12
LCM(97956,97968) = 9596553408 / 12
LCM(97956,97968) = 799712784

Least Common Multiple (LCM) of 97956 and 97968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97956 and 97968. First we will calculate the prime factors of 97956 and 97968.

Prime Factorization of 97956

Prime Factorization of 97968

Now multiplying the highest exponent prime factors to calculate the LCM of 97956 and 97968.

LCM(97956,97968) = 2⁴ × 3³ × 907¹ × 13¹ × 157¹
LCM(97956,97968) = 799712784