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What is the Least Common Multiple of 59977 and 59981?

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 59977 and 59981 is 3597480437.

LCM(59977,59981) = 3597480437

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Least Common Multiple of 59977 and 59981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59977 and 59981, than apply into the LCM equation.

GCF(59977,59981) = 1
LCM(59977,59981) = ( 59977 × 59981) / 1
LCM(59977,59981) = 3597480437 / 1
LCM(59977,59981) = 3597480437

Least Common Multiple (LCM) of 59977 and 59981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59977 and 59981. First we will calculate the prime factors of 59977 and 59981.

Prime Factorization of 59977

Prime factors of 59977 are 37, 1621. Prime factorization of 59977 in exponential form is:

59977 = 371 × 16211

Prime Factorization of 59981

Prime factors of 59981 are 59981. Prime factorization of 59981 in exponential form is:

59981 = 599811

Now multiplying the highest exponent prime factors to calculate the LCM of 59977 and 59981.

LCM(59977,59981) = 371 × 16211 × 599811
LCM(59977,59981) = 3597480437