What is the Least Common Multiple of 87374 and 87388?

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 87374 and 87388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87374 and 87388, than apply into the LCM equation.

GCF(87374,87388) = 14
LCM(87374,87388) = ( 87374 × 87388) / 14
LCM(87374,87388) = 7635439112 / 14
LCM(87374,87388) = 545388508

Least Common Multiple (LCM) of 87374 and 87388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87374 and 87388. First we will calculate the prime factors of 87374 and 87388.

Prime Factorization of 87374

Prime Factorization of 87388

Now multiplying the highest exponent prime factors to calculate the LCM of 87374 and 87388.

LCM(87374,87388) = 2² × 7¹ × 79² × 3121¹
LCM(87374,87388) = 545388508