What is the Least Common Multiple of 97932 and 97946?

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 97932 and 97946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97932 and 97946, than apply into the LCM equation.

GCF(97932,97946) = 2
LCM(97932,97946) = ( 97932 × 97946) / 2
LCM(97932,97946) = 9592047672 / 2
LCM(97932,97946) = 4796023836

Least Common Multiple (LCM) of 97932 and 97946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97932 and 97946. First we will calculate the prime factors of 97932 and 97946.

Prime Factorization of 97932

Prime Factorization of 97946

Now multiplying the highest exponent prime factors to calculate the LCM of 97932 and 97946.

LCM(97932,97946) = 2² × 3¹ × 8161¹ × 48973¹
LCM(97932,97946) = 4796023836