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What is the Least Common Multiple of 88202 and 88211?

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 88202 and 88211 is 7780386622.

LCM(88202,88211) = 7780386622

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Least Common Multiple of 88202 and 88211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88202 and 88211, than apply into the LCM equation.

GCF(88202,88211) = 1
LCM(88202,88211) = ( 88202 × 88211) / 1
LCM(88202,88211) = 7780386622 / 1
LCM(88202,88211) = 7780386622

Least Common Multiple (LCM) of 88202 and 88211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88202 and 88211. First we will calculate the prime factors of 88202 and 88211.

Prime Factorization of 88202

Prime factors of 88202 are 2, 44101. Prime factorization of 88202 in exponential form is:

88202 = 21 × 441011

Prime Factorization of 88211

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

88211 = 882111

Now multiplying the highest exponent prime factors to calculate the LCM of 88202 and 88211.

LCM(88202,88211) = 21 × 441011 × 882111
LCM(88202,88211) = 7780386622