What is the Least Common Multiple of 59122 and 59138?

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 59122 and 59138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59122 and 59138, than apply into the LCM equation.

GCF(59122,59138) = 2
LCM(59122,59138) = ( 59122 × 59138) / 2
LCM(59122,59138) = 3496356836 / 2
LCM(59122,59138) = 1748178418

Least Common Multiple (LCM) of 59122 and 59138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59122 and 59138. First we will calculate the prime factors of 59122 and 59138.

Prime Factorization of 59122

Prime Factorization of 59138

Now multiplying the highest exponent prime factors to calculate the LCM of 59122 and 59138.

LCM(59122,59138) = 2¹ × 7¹ × 41¹ × 103¹ × 29569¹
LCM(59122,59138) = 1748178418