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What is the Least Common Multiple of 93202 and 93206?

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 93202 and 93206 is 4343492806.

LCM(93202,93206) = 4343492806

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Least Common Multiple of 93202 and 93206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93202 and 93206, than apply into the LCM equation.

GCF(93202,93206) = 2
LCM(93202,93206) = ( 93202 × 93206) / 2
LCM(93202,93206) = 8686985612 / 2
LCM(93202,93206) = 4343492806

Least Common Multiple (LCM) of 93202 and 93206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93202 and 93206. First we will calculate the prime factors of 93202 and 93206.

Prime Factorization of 93202

Prime factors of 93202 are 2, 46601. Prime factorization of 93202 in exponential form is:

93202 = 21 × 466011

Prime Factorization of 93206

Prime factors of 93206 are 2, 29, 1607. Prime factorization of 93206 in exponential form is:

93206 = 21 × 291 × 16071

Now multiplying the highest exponent prime factors to calculate the LCM of 93202 and 93206.

LCM(93202,93206) = 21 × 466011 × 291 × 16071
LCM(93202,93206) = 4343492806