What is the Least Common Multiple of 88360 and 88374?

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 88360 and 88374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88360 and 88374, than apply into the LCM equation.

GCF(88360,88374) = 2
LCM(88360,88374) = ( 88360 × 88374) / 2
LCM(88360,88374) = 7808726640 / 2
LCM(88360,88374) = 3904363320

Least Common Multiple (LCM) of 88360 and 88374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88360 and 88374. First we will calculate the prime factors of 88360 and 88374.

Prime Factorization of 88360

Prime Factorization of 88374

Now multiplying the highest exponent prime factors to calculate the LCM of 88360 and 88374.

LCM(88360,88374) = 2³ × 5¹ × 47² × 3¹ × 11¹ × 13¹ × 103¹
LCM(88360,88374) = 3904363320