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What is the Least Common Multiple of 94977 and 94993?

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 94977 and 94993 is 9022150161.

LCM(94977,94993) = 9022150161

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Least Common Multiple of 94977 and 94993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94977 and 94993, than apply into the LCM equation.

GCF(94977,94993) = 1
LCM(94977,94993) = ( 94977 × 94993) / 1
LCM(94977,94993) = 9022150161 / 1
LCM(94977,94993) = 9022150161

Least Common Multiple (LCM) of 94977 and 94993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94977 and 94993. First we will calculate the prime factors of 94977 and 94993.

Prime Factorization of 94977

Prime factors of 94977 are 3, 61, 173. Prime factorization of 94977 in exponential form is:

94977 = 32 × 611 × 1731

Prime Factorization of 94993

Prime factors of 94993 are 94993. Prime factorization of 94993 in exponential form is:

94993 = 949931

Now multiplying the highest exponent prime factors to calculate the LCM of 94977 and 94993.

LCM(94977,94993) = 32 × 611 × 1731 × 949931
LCM(94977,94993) = 9022150161