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What is the Least Common Multiple of 94495 and 94502?

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 94495 and 94502 is 8929966490.

LCM(94495,94502) = 8929966490

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Least Common Multiple of 94495 and 94502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94495 and 94502, than apply into the LCM equation.

GCF(94495,94502) = 1
LCM(94495,94502) = ( 94495 × 94502) / 1
LCM(94495,94502) = 8929966490 / 1
LCM(94495,94502) = 8929966490

Least Common Multiple (LCM) of 94495 and 94502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94495 and 94502. First we will calculate the prime factors of 94495 and 94502.

Prime Factorization of 94495

Prime factors of 94495 are 5, 18899. Prime factorization of 94495 in exponential form is:

94495 = 51 × 188991

Prime Factorization of 94502

Prime factors of 94502 are 2, 47251. Prime factorization of 94502 in exponential form is:

94502 = 21 × 472511

Now multiplying the highest exponent prime factors to calculate the LCM of 94495 and 94502.

LCM(94495,94502) = 51 × 188991 × 21 × 472511
LCM(94495,94502) = 8929966490