What is the Least Common Multiple of 42880 and 42890?

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 42880 and 42890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42880 and 42890, than apply into the LCM equation.

GCF(42880,42890) = 10
LCM(42880,42890) = ( 42880 × 42890) / 10
LCM(42880,42890) = 1839123200 / 10
LCM(42880,42890) = 183912320

Least Common Multiple (LCM) of 42880 and 42890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42880 and 42890. First we will calculate the prime factors of 42880 and 42890.

Prime Factorization of 42880

Prime Factorization of 42890

Now multiplying the highest exponent prime factors to calculate the LCM of 42880 and 42890.

LCM(42880,42890) = 2⁷ × 5¹ × 67¹ × 4289¹
LCM(42880,42890) = 183912320