What is the Least Common Multiple of 1953 and 1963?

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 1953 and 1963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1953 and 1963, than apply into the LCM equation.

GCF(1953,1963) = 1
LCM(1953,1963) = ( 1953 × 1963) / 1
LCM(1953,1963) = 3833739 / 1
LCM(1953,1963) = 3833739

Least Common Multiple (LCM) of 1953 and 1963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1953 and 1963. First we will calculate the prime factors of 1953 and 1963.

Prime Factorization of 1953

Prime Factorization of 1963

Now multiplying the highest exponent prime factors to calculate the LCM of 1953 and 1963.

LCM(1953,1963) = 3² × 7¹ × 31¹ × 13¹ × 151¹
LCM(1953,1963) = 3833739