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What is the Least Common Multiple of 94974 and 94988?

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 94974 and 94988 is 4510695156.

LCM(94974,94988) = 4510695156

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Least Common Multiple of 94974 and 94988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94974 and 94988, than apply into the LCM equation.

GCF(94974,94988) = 2
LCM(94974,94988) = ( 94974 × 94988) / 2
LCM(94974,94988) = 9021390312 / 2
LCM(94974,94988) = 4510695156

Least Common Multiple (LCM) of 94974 and 94988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94974 and 94988. First we will calculate the prime factors of 94974 and 94988.

Prime Factorization of 94974

Prime factors of 94974 are 2, 3, 11, 1439. Prime factorization of 94974 in exponential form is:

94974 = 21 × 31 × 111 × 14391

Prime Factorization of 94988

Prime factors of 94988 are 2, 23747. Prime factorization of 94988 in exponential form is:

94988 = 22 × 237471

Now multiplying the highest exponent prime factors to calculate the LCM of 94974 and 94988.

LCM(94974,94988) = 22 × 31 × 111 × 14391 × 237471
LCM(94974,94988) = 4510695156