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What is the Least Common Multiple of 35977 and 35990?

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 35977 and 35990 is 1294812230.

LCM(35977,35990) = 1294812230

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Least Common Multiple of 35977 and 35990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35977 and 35990, than apply into the LCM equation.

GCF(35977,35990) = 1
LCM(35977,35990) = ( 35977 × 35990) / 1
LCM(35977,35990) = 1294812230 / 1
LCM(35977,35990) = 1294812230

Least Common Multiple (LCM) of 35977 and 35990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35977 and 35990. First we will calculate the prime factors of 35977 and 35990.

Prime Factorization of 35977

Prime factors of 35977 are 35977. Prime factorization of 35977 in exponential form is:

35977 = 359771

Prime Factorization of 35990

Prime factors of 35990 are 2, 5, 59, 61. Prime factorization of 35990 in exponential form is:

35990 = 21 × 51 × 591 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 35977 and 35990.

LCM(35977,35990) = 359771 × 21 × 51 × 591 × 611
LCM(35977,35990) = 1294812230