GCF and LCM Calculator Logo

What is the Least Common Multiple of 42991 and 42995?

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 42991 and 42995 is 1848398045.

LCM(42991,42995) = 1848398045

LCM Calculator and
and

Least Common Multiple of 42991 and 42995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42991 and 42995, than apply into the LCM equation.

GCF(42991,42995) = 1
LCM(42991,42995) = ( 42991 × 42995) / 1
LCM(42991,42995) = 1848398045 / 1
LCM(42991,42995) = 1848398045

Least Common Multiple (LCM) of 42991 and 42995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42991 and 42995. First we will calculate the prime factors of 42991 and 42995.

Prime Factorization of 42991

Prime factors of 42991 are 13, 3307. Prime factorization of 42991 in exponential form is:

42991 = 131 × 33071

Prime Factorization of 42995

Prime factors of 42995 are 5, 8599. Prime factorization of 42995 in exponential form is:

42995 = 51 × 85991

Now multiplying the highest exponent prime factors to calculate the LCM of 42991 and 42995.

LCM(42991,42995) = 131 × 33071 × 51 × 85991
LCM(42991,42995) = 1848398045