What is the Least Common Multiple of 41995 and 42002?

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 41995 and 42002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41995 and 42002, than apply into the LCM equation.

GCF(41995,42002) = 1
LCM(41995,42002) = ( 41995 × 42002) / 1
LCM(41995,42002) = 1763873990 / 1
LCM(41995,42002) = 1763873990

Least Common Multiple (LCM) of 41995 and 42002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41995 and 42002. First we will calculate the prime factors of 41995 and 42002.

Prime Factorization of 41995

Prime Factorization of 42002

Now multiplying the highest exponent prime factors to calculate the LCM of 41995 and 42002.

LCM(41995,42002) = 5¹ × 37¹ × 227¹ × 2¹ × 21001¹
LCM(41995,42002) = 1763873990