What is the Least Common Multiple of 97050 and 97059?

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 97050 and 97059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97050 and 97059, than apply into the LCM equation.

GCF(97050,97059) = 3
LCM(97050,97059) = ( 97050 × 97059) / 3
LCM(97050,97059) = 9419575950 / 3
LCM(97050,97059) = 3139858650

Least Common Multiple (LCM) of 97050 and 97059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97050 and 97059. First we will calculate the prime factors of 97050 and 97059.

Prime Factorization of 97050

Prime Factorization of 97059

Now multiplying the highest exponent prime factors to calculate the LCM of 97050 and 97059.

LCM(97050,97059) = 2¹ × 3¹ × 5² × 647¹ × 32353¹
LCM(97050,97059) = 3139858650