What is the Least Common Multiple of 35546 and 35560?

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 35546 and 35560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35546 and 35560, than apply into the LCM equation.

GCF(35546,35560) = 14
LCM(35546,35560) = ( 35546 × 35560) / 14
LCM(35546,35560) = 1264015760 / 14
LCM(35546,35560) = 90286840

Least Common Multiple (LCM) of 35546 and 35560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35546 and 35560. First we will calculate the prime factors of 35546 and 35560.

Prime Factorization of 35546

Prime Factorization of 35560

Now multiplying the highest exponent prime factors to calculate the LCM of 35546 and 35560.

LCM(35546,35560) = 2³ × 7¹ × 2539¹ × 5¹ × 127¹
LCM(35546,35560) = 90286840