What is the Least Common Multiple of 35460 and 35469?

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 35460 and 35469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35460 and 35469, than apply into the LCM equation.

GCF(35460,35469) = 9
LCM(35460,35469) = ( 35460 × 35469) / 9
LCM(35460,35469) = 1257730740 / 9
LCM(35460,35469) = 139747860

Least Common Multiple (LCM) of 35460 and 35469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35460 and 35469. First we will calculate the prime factors of 35460 and 35469.

Prime Factorization of 35460

Prime Factorization of 35469

Now multiplying the highest exponent prime factors to calculate the LCM of 35460 and 35469.

LCM(35460,35469) = 2² × 3² × 5¹ × 197¹ × 7¹ × 563¹
LCM(35460,35469) = 139747860