What is the Least Common Multiple of 91374 and 91394?

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 91374 and 91394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91374 and 91394, than apply into the LCM equation.

GCF(91374,91394) = 2
LCM(91374,91394) = ( 91374 × 91394) / 2
LCM(91374,91394) = 8351035356 / 2
LCM(91374,91394) = 4175517678

Least Common Multiple (LCM) of 91374 and 91394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91374 and 91394. First we will calculate the prime factors of 91374 and 91394.

Prime Factorization of 91374

Prime Factorization of 91394

Now multiplying the highest exponent prime factors to calculate the LCM of 91374 and 91394.

LCM(91374,91394) = 2¹ × 3¹ × 97¹ × 157¹ × 45697¹
LCM(91374,91394) = 4175517678