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What is the Least Common Multiple of 88220 and 88227?

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 (LCM) of 88220 and 88227 is 7783385940.

LCM(88220,88227) = 7783385940

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Least Common Multiple of 88220 and 88227 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 88227, than apply into the LCM equation.

GCF(88220,88227) = 1
LCM(88220,88227) = ( 88220 × 88227) / 1
LCM(88220,88227) = 7783385940 / 1
LCM(88220,88227) = 7783385940

Least Common Multiple (LCM) of 88220 and 88227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88220 and 88227. First we will calculate the prime factors of 88220 and 88227.

Prime Factorization of 88220

Prime factors of 88220 are 2, 5, 11, 401. Prime factorization of 88220 in exponential form is:

88220 = 22 × 51 × 111 × 4011

Prime Factorization of 88227

Prime factors of 88227 are 3, 9803. Prime factorization of 88227 in exponential form is:

88227 = 32 × 98031

Now multiplying the highest exponent prime factors to calculate the LCM of 88220 and 88227.

LCM(88220,88227) = 22 × 51 × 111 × 4011 × 32 × 98031
LCM(88220,88227) = 7783385940