What is the Least Common Multiple of 88208 and 88220?

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 88208 and 88220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88208 and 88220, than apply into the LCM equation.

GCF(88208,88220) = 4
LCM(88208,88220) = ( 88208 × 88220) / 4
LCM(88208,88220) = 7781709760 / 4
LCM(88208,88220) = 1945427440

Least Common Multiple (LCM) of 88208 and 88220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88208 and 88220. First we will calculate the prime factors of 88208 and 88220.

Prime Factorization of 88208

Prime Factorization of 88220

Now multiplying the highest exponent prime factors to calculate the LCM of 88208 and 88220.

LCM(88208,88220) = 2⁴ × 37¹ × 149¹ × 5¹ × 11¹ × 401¹
LCM(88208,88220) = 1945427440