What is the Least Common Multiple of 42029 and 42043?

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 42029 and 42043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42029 and 42043, than apply into the LCM equation.

GCF(42029,42043) = 1
LCM(42029,42043) = ( 42029 × 42043) / 1
LCM(42029,42043) = 1767025247 / 1
LCM(42029,42043) = 1767025247

Least Common Multiple (LCM) of 42029 and 42043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42029 and 42043. First we will calculate the prime factors of 42029 and 42043.

Prime Factorization of 42029

Prime Factorization of 42043

Now multiplying the highest exponent prime factors to calculate the LCM of 42029 and 42043.

LCM(42029,42043) = 13¹ × 53¹ × 61¹ × 42043¹
LCM(42029,42043) = 1767025247