What is the Least Common Multiple of 88074 and 88080?

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 88074 and 88080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88074 and 88080, than apply into the LCM equation.

GCF(88074,88080) = 6
LCM(88074,88080) = ( 88074 × 88080) / 6
LCM(88074,88080) = 7757557920 / 6
LCM(88074,88080) = 1292926320

Least Common Multiple (LCM) of 88074 and 88080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88074 and 88080. First we will calculate the prime factors of 88074 and 88080.

Prime Factorization of 88074

Prime Factorization of 88080

Now multiplying the highest exponent prime factors to calculate the LCM of 88074 and 88080.

LCM(88074,88080) = 2⁴ × 3³ × 7¹ × 233¹ × 5¹ × 367¹
LCM(88074,88080) = 1292926320