What is the Least Common Multiple of 21754 and 21769?

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 21754 and 21769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21754 and 21769, than apply into the LCM equation.

GCF(21754,21769) = 1
LCM(21754,21769) = ( 21754 × 21769) / 1
LCM(21754,21769) = 473562826 / 1
LCM(21754,21769) = 473562826

Least Common Multiple (LCM) of 21754 and 21769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21754 and 21769. First we will calculate the prime factors of 21754 and 21769.

Prime Factorization of 21754

Prime Factorization of 21769

Now multiplying the highest exponent prime factors to calculate the LCM of 21754 and 21769.

LCM(21754,21769) = 2¹ × 73¹ × 149¹ × 11¹ × 1979¹
LCM(21754,21769) = 473562826