What is the Least Common Multiple of 19455 and 19463?

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 19455 and 19463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19455 and 19463, than apply into the LCM equation.

GCF(19455,19463) = 1
LCM(19455,19463) = ( 19455 × 19463) / 1
LCM(19455,19463) = 378652665 / 1
LCM(19455,19463) = 378652665

Least Common Multiple (LCM) of 19455 and 19463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19455 and 19463. First we will calculate the prime factors of 19455 and 19463.

Prime Factorization of 19455

Prime Factorization of 19463

Now multiplying the highest exponent prime factors to calculate the LCM of 19455 and 19463.

LCM(19455,19463) = 3¹ × 5¹ × 1297¹ × 19463¹
LCM(19455,19463) = 378652665