What is the Least Common Multiple of 41754 and 41769?

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 41754 and 41769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41754 and 41769, than apply into the LCM equation.

GCF(41754,41769) = 3
LCM(41754,41769) = ( 41754 × 41769) / 3
LCM(41754,41769) = 1744022826 / 3
LCM(41754,41769) = 581340942

Least Common Multiple (LCM) of 41754 and 41769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41754 and 41769. First we will calculate the prime factors of 41754 and 41769.

Prime Factorization of 41754

Prime Factorization of 41769

Now multiplying the highest exponent prime factors to calculate the LCM of 41754 and 41769.

LCM(41754,41769) = 2¹ × 3³ × 6959¹ × 7¹ × 13¹ × 17¹
LCM(41754,41769) = 581340942