What is the Least Common Multiple of 42015 and 42035?

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 42015 and 42035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42015 and 42035, than apply into the LCM equation.

GCF(42015,42035) = 5
LCM(42015,42035) = ( 42015 × 42035) / 5
LCM(42015,42035) = 1766100525 / 5
LCM(42015,42035) = 353220105

Least Common Multiple (LCM) of 42015 and 42035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42015 and 42035. First we will calculate the prime factors of 42015 and 42035.

Prime Factorization of 42015

Prime Factorization of 42035

Now multiplying the highest exponent prime factors to calculate the LCM of 42015 and 42035.

LCM(42015,42035) = 3¹ × 5¹ × 2801¹ × 7¹ × 1201¹
LCM(42015,42035) = 353220105