What is the Least Common Multiple of 21762 and 21767?

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 21762 and 21767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21762 and 21767, than apply into the LCM equation.

GCF(21762,21767) = 1
LCM(21762,21767) = ( 21762 × 21767) / 1
LCM(21762,21767) = 473693454 / 1
LCM(21762,21767) = 473693454

Least Common Multiple (LCM) of 21762 and 21767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21762 and 21767. First we will calculate the prime factors of 21762 and 21767.

Prime Factorization of 21762

Prime Factorization of 21767

Now multiplying the highest exponent prime factors to calculate the LCM of 21762 and 21767.

LCM(21762,21767) = 2¹ × 3³ × 13¹ × 31¹ × 21767¹
LCM(21762,21767) = 473693454