GCF and LCM Calculator Logo

What is the Least Common Multiple of 65977 and 65983?

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 65977 and 65983 is 4353360391.

LCM(65977,65983) = 4353360391

LCM Calculator and
and

Least Common Multiple of 65977 and 65983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65977 and 65983, than apply into the LCM equation.

GCF(65977,65983) = 1
LCM(65977,65983) = ( 65977 × 65983) / 1
LCM(65977,65983) = 4353360391 / 1
LCM(65977,65983) = 4353360391

Least Common Multiple (LCM) of 65977 and 65983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65977 and 65983. First we will calculate the prime factors of 65977 and 65983.

Prime Factorization of 65977

Prime factors of 65977 are 17, 3881. Prime factorization of 65977 in exponential form is:

65977 = 171 × 38811

Prime Factorization of 65983

Prime factors of 65983 are 65983. Prime factorization of 65983 in exponential form is:

65983 = 659831

Now multiplying the highest exponent prime factors to calculate the LCM of 65977 and 65983.

LCM(65977,65983) = 171 × 38811 × 659831
LCM(65977,65983) = 4353360391