GCF and LCM Calculator Logo

What is the Least Common Multiple of 67976 and 67987?

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 67976 and 67987 is 4621484312.

LCM(67976,67987) = 4621484312

LCM Calculator and
and

Least Common Multiple of 67976 and 67987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67976 and 67987, than apply into the LCM equation.

GCF(67976,67987) = 1
LCM(67976,67987) = ( 67976 × 67987) / 1
LCM(67976,67987) = 4621484312 / 1
LCM(67976,67987) = 4621484312

Least Common Multiple (LCM) of 67976 and 67987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67976 and 67987. First we will calculate the prime factors of 67976 and 67987.

Prime Factorization of 67976

Prime factors of 67976 are 2, 29, 293. Prime factorization of 67976 in exponential form is:

67976 = 23 × 291 × 2931

Prime Factorization of 67987

Prime factors of 67987 are 67987. Prime factorization of 67987 in exponential form is:

67987 = 679871

Now multiplying the highest exponent prime factors to calculate the LCM of 67976 and 67987.

LCM(67976,67987) = 23 × 291 × 2931 × 679871
LCM(67976,67987) = 4621484312