What is the Least Common Multiple of 42880 and 42892?

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 42892 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 42892, than apply into the LCM equation.

GCF(42880,42892) = 4
LCM(42880,42892) = ( 42880 × 42892) / 4
LCM(42880,42892) = 1839208960 / 4
LCM(42880,42892) = 459802240

Least Common Multiple (LCM) of 42880 and 42892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42880 and 42892. First we will calculate the prime factors of 42880 and 42892.

Prime Factorization of 42880

Prime Factorization of 42892

Now multiplying the highest exponent prime factors to calculate the LCM of 42880 and 42892.

LCM(42880,42892) = 2⁷ × 5¹ × 67¹ × 10723¹
LCM(42880,42892) = 459802240