What is the Least Common Multiple of 21966 and 21985?

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 21966 and 21985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21966 and 21985, than apply into the LCM equation.

GCF(21966,21985) = 1
LCM(21966,21985) = ( 21966 × 21985) / 1
LCM(21966,21985) = 482922510 / 1
LCM(21966,21985) = 482922510

Least Common Multiple (LCM) of 21966 and 21985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21966 and 21985. First we will calculate the prime factors of 21966 and 21985.

Prime Factorization of 21966

Prime Factorization of 21985

Now multiplying the highest exponent prime factors to calculate the LCM of 21966 and 21985.

LCM(21966,21985) = 2¹ × 3¹ × 7¹ × 523¹ × 5¹ × 4397¹
LCM(21966,21985) = 482922510