What is the Least Common Multiple of 42980 and 42994?

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 of 42980 and 42994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42980 and 42994, than apply into the LCM equation.

GCF(42980,42994) = 14
LCM(42980,42994) = ( 42980 × 42994) / 14
LCM(42980,42994) = 1847882120 / 14
LCM(42980,42994) = 131991580

Least Common Multiple (LCM) of 42980 and 42994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42980 and 42994. First we will calculate the prime factors of 42980 and 42994.

Prime Factorization of 42980

Prime Factorization of 42994

Now multiplying the highest exponent prime factors to calculate the LCM of 42980 and 42994.

LCM(42980,42994) = 2² × 5¹ × 7¹ × 307¹ × 37¹ × 83¹
LCM(42980,42994) = 131991580