GCF and LCM Calculator Logo

What is the Least Common Multiple of 41992 and 42006?

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 41992 and 42006 is 881957976.

LCM(41992,42006) = 881957976

LCM Calculator and
and

Least Common Multiple of 41992 and 42006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41992 and 42006, than apply into the LCM equation.

GCF(41992,42006) = 2
LCM(41992,42006) = ( 41992 × 42006) / 2
LCM(41992,42006) = 1763915952 / 2
LCM(41992,42006) = 881957976

Least Common Multiple (LCM) of 41992 and 42006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41992 and 42006. First we will calculate the prime factors of 41992 and 42006.

Prime Factorization of 41992

Prime factors of 41992 are 2, 29, 181. Prime factorization of 41992 in exponential form is:

41992 = 23 × 291 × 1811

Prime Factorization of 42006

Prime factors of 42006 are 2, 3, 7001. Prime factorization of 42006 in exponential form is:

42006 = 21 × 31 × 70011

Now multiplying the highest exponent prime factors to calculate the LCM of 41992 and 42006.

LCM(41992,42006) = 23 × 291 × 1811 × 31 × 70011
LCM(41992,42006) = 881957976