What is the Least Common Multiple of 20951 and 20965?

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 20951 and 20965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20951 and 20965, than apply into the LCM equation.

GCF(20951,20965) = 7
LCM(20951,20965) = ( 20951 × 20965) / 7
LCM(20951,20965) = 439237715 / 7
LCM(20951,20965) = 62748245

Least Common Multiple (LCM) of 20951 and 20965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20951 and 20965. First we will calculate the prime factors of 20951 and 20965.

Prime Factorization of 20951

Prime Factorization of 20965

Now multiplying the highest exponent prime factors to calculate the LCM of 20951 and 20965.

LCM(20951,20965) = 7¹ × 41¹ × 73¹ × 5¹ × 599¹
LCM(20951,20965) = 62748245