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What is the Least Common Multiple of 88211 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 (LCM) of 88211 and 88220 is 7781974420.

LCM(88211,88220) = 7781974420

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Least Common Multiple of 88211 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 88211 and 88220, than apply into the LCM equation.

GCF(88211,88220) = 1
LCM(88211,88220) = ( 88211 × 88220) / 1
LCM(88211,88220) = 7781974420 / 1
LCM(88211,88220) = 7781974420

Least Common Multiple (LCM) of 88211 and 88220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88211 and 88220. First we will calculate the prime factors of 88211 and 88220.

Prime Factorization of 88211

Prime factors of 88211 are 88211. Prime factorization of 88211 in exponential form is:

88211 = 882111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 88211 and 88220.

LCM(88211,88220) = 882111 × 22 × 51 × 111 × 4011
LCM(88211,88220) = 7781974420