What is the Least Common Multiple of 73374 and 73381?

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 73374 and 73381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73374 and 73381, than apply into the LCM equation.

GCF(73374,73381) = 7
LCM(73374,73381) = ( 73374 × 73381) / 7
LCM(73374,73381) = 5384257494 / 7
LCM(73374,73381) = 769179642

Least Common Multiple (LCM) of 73374 and 73381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73374 and 73381. First we will calculate the prime factors of 73374 and 73381.

Prime Factorization of 73374

Prime Factorization of 73381

Now multiplying the highest exponent prime factors to calculate the LCM of 73374 and 73381.

LCM(73374,73381) = 2¹ × 3¹ × 7¹ × 1747¹ × 11¹ × 953¹
LCM(73374,73381) = 769179642