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What is the Least Common Multiple of 93250 and 93262?

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 93250 and 93262 is 4348340750.

LCM(93250,93262) = 4348340750

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Least Common Multiple of 93250 and 93262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93250 and 93262, than apply into the LCM equation.

GCF(93250,93262) = 2
LCM(93250,93262) = ( 93250 × 93262) / 2
LCM(93250,93262) = 8696681500 / 2
LCM(93250,93262) = 4348340750

Least Common Multiple (LCM) of 93250 and 93262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93250 and 93262. First we will calculate the prime factors of 93250 and 93262.

Prime Factorization of 93250

Prime factors of 93250 are 2, 5, 373. Prime factorization of 93250 in exponential form is:

93250 = 21 × 53 × 3731

Prime Factorization of 93262

Prime factors of 93262 are 2, 13, 17, 211. Prime factorization of 93262 in exponential form is:

93262 = 21 × 131 × 171 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 93250 and 93262.

LCM(93250,93262) = 21 × 53 × 3731 × 131 × 171 × 2111
LCM(93250,93262) = 4348340750