What is the Least Common Multiple of 97924 and 97942?

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 97924 and 97942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97924 and 97942, than apply into the LCM equation.

GCF(97924,97942) = 2
LCM(97924,97942) = ( 97924 × 97942) / 2
LCM(97924,97942) = 9590872408 / 2
LCM(97924,97942) = 4795436204

Least Common Multiple (LCM) of 97924 and 97942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97924 and 97942. First we will calculate the prime factors of 97924 and 97942.

Prime Factorization of 97924

Prime Factorization of 97942

Now multiplying the highest exponent prime factors to calculate the LCM of 97924 and 97942.

LCM(97924,97942) = 2² × 24481¹ × 13¹ × 3767¹
LCM(97924,97942) = 4795436204