What is the Least Common Multiple of 97032 and 97050?

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 97032 and 97050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97032 and 97050, than apply into the LCM equation.

GCF(97032,97050) = 6
LCM(97032,97050) = ( 97032 × 97050) / 6
LCM(97032,97050) = 9416955600 / 6
LCM(97032,97050) = 1569492600

Least Common Multiple (LCM) of 97032 and 97050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97032 and 97050. First we will calculate the prime factors of 97032 and 97050.

Prime Factorization of 97032

Prime Factorization of 97050

Now multiplying the highest exponent prime factors to calculate the LCM of 97032 and 97050.

LCM(97032,97050) = 2³ × 3¹ × 13¹ × 311¹ × 5² × 647¹
LCM(97032,97050) = 1569492600