What is the Least Common Multiple of 88220 and 88240?

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 88220 and 88240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88220 and 88240, than apply into the LCM equation.

GCF(88220,88240) = 20
LCM(88220,88240) = ( 88220 × 88240) / 20
LCM(88220,88240) = 7784532800 / 20
LCM(88220,88240) = 389226640

Least Common Multiple (LCM) of 88220 and 88240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88220 and 88240. First we will calculate the prime factors of 88220 and 88240.

Prime Factorization of 88220

Prime Factorization of 88240

Now multiplying the highest exponent prime factors to calculate the LCM of 88220 and 88240.

LCM(88220,88240) = 2⁴ × 5¹ × 11¹ × 401¹ × 1103¹
LCM(88220,88240) = 389226640