What is the Least Common Multiple of 80358 and 80374?

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 80358 and 80374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80358 and 80374, than apply into the LCM equation.

GCF(80358,80374) = 2
LCM(80358,80374) = ( 80358 × 80374) / 2
LCM(80358,80374) = 6458693892 / 2
LCM(80358,80374) = 3229346946

Least Common Multiple (LCM) of 80358 and 80374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80358 and 80374. First we will calculate the prime factors of 80358 and 80374.

Prime Factorization of 80358

Prime Factorization of 80374

Now multiplying the highest exponent prime factors to calculate the LCM of 80358 and 80374.

LCM(80358,80374) = 2¹ × 3¹ × 59¹ × 227¹ × 7¹ × 5741¹
LCM(80358,80374) = 3229346946