What is the Least Common Multiple of 97940 and 97954?

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 97940 and 97954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97940 and 97954, than apply into the LCM equation.

GCF(97940,97954) = 2
LCM(97940,97954) = ( 97940 × 97954) / 2
LCM(97940,97954) = 9593614760 / 2
LCM(97940,97954) = 4796807380

Least Common Multiple (LCM) of 97940 and 97954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97940 and 97954. First we will calculate the prime factors of 97940 and 97954.

Prime Factorization of 97940

Prime Factorization of 97954

Now multiplying the highest exponent prime factors to calculate the LCM of 97940 and 97954.

LCM(97940,97954) = 2² × 5¹ × 59¹ × 83¹ × 17¹ × 43¹ × 67¹
LCM(97940,97954) = 4796807380