What is the Least Common Multiple of 46038 and 46058?

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 46038 and 46058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46038 and 46058, than apply into the LCM equation.

GCF(46038,46058) = 2
LCM(46038,46058) = ( 46038 × 46058) / 2
LCM(46038,46058) = 2120418204 / 2
LCM(46038,46058) = 1060209102

Least Common Multiple (LCM) of 46038 and 46058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46038 and 46058. First we will calculate the prime factors of 46038 and 46058.

Prime Factorization of 46038

Prime Factorization of 46058

Now multiplying the highest exponent prime factors to calculate the LCM of 46038 and 46058.

LCM(46038,46058) = 2¹ × 3¹ × 7673¹ × 23029¹
LCM(46038,46058) = 1060209102