What is the Least Common Multiple of 97968 and 97978?

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 97968 and 97978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97968 and 97978, than apply into the LCM equation.

GCF(97968,97978) = 2
LCM(97968,97978) = ( 97968 × 97978) / 2
LCM(97968,97978) = 9598708704 / 2
LCM(97968,97978) = 4799354352

Least Common Multiple (LCM) of 97968 and 97978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97968 and 97978. First we will calculate the prime factors of 97968 and 97978.

Prime Factorization of 97968

Prime Factorization of 97978

Now multiplying the highest exponent prime factors to calculate the LCM of 97968 and 97978.

LCM(97968,97978) = 2⁴ × 3¹ × 13¹ × 157¹ × 48989¹
LCM(97968,97978) = 4799354352