What is the Least Common Multiple of 59052 and 59059?

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 59052 and 59059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59052 and 59059, than apply into the LCM equation.

GCF(59052,59059) = 7
LCM(59052,59059) = ( 59052 × 59059) / 7
LCM(59052,59059) = 3487552068 / 7
LCM(59052,59059) = 498221724

Least Common Multiple (LCM) of 59052 and 59059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59052 and 59059. First we will calculate the prime factors of 59052 and 59059.

Prime Factorization of 59052

Prime Factorization of 59059

Now multiplying the highest exponent prime factors to calculate the LCM of 59052 and 59059.

LCM(59052,59059) = 2² × 3¹ × 7¹ × 19¹ × 37¹ × 11¹ × 13¹ × 59¹
LCM(59052,59059) = 498221724