What is the Least Common Multiple of 97170 and 97174?

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 97170 and 97174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97170 and 97174, than apply into the LCM equation.

GCF(97170,97174) = 2
LCM(97170,97174) = ( 97170 × 97174) / 2
LCM(97170,97174) = 9442397580 / 2
LCM(97170,97174) = 4721198790

Least Common Multiple (LCM) of 97170 and 97174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97170 and 97174. First we will calculate the prime factors of 97170 and 97174.

Prime Factorization of 97170

Prime Factorization of 97174

Now multiplying the highest exponent prime factors to calculate the LCM of 97170 and 97174.

LCM(97170,97174) = 2¹ × 3¹ × 5¹ × 41¹ × 79¹ × 7¹ × 11¹ × 631¹
LCM(97170,97174) = 4721198790