What is the Least Common Multiple of 97374 and 97388?

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 97374 and 97388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97374 and 97388, than apply into the LCM equation.

GCF(97374,97388) = 2
LCM(97374,97388) = ( 97374 × 97388) / 2
LCM(97374,97388) = 9483059112 / 2
LCM(97374,97388) = 4741529556

Least Common Multiple (LCM) of 97374 and 97388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97374 and 97388. First we will calculate the prime factors of 97374 and 97388.

Prime Factorization of 97374

Prime Factorization of 97388

Now multiplying the highest exponent prime factors to calculate the LCM of 97374 and 97388.

LCM(97374,97388) = 2² × 3¹ × 16229¹ × 97¹ × 251¹
LCM(97374,97388) = 4741529556