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What is the Least Common Multiple of 946 and 953?

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 (LCM) of 946 and 953 is 901538.

LCM(946,953) = 901538

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Least Common Multiple of 946 and 953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 946 and 953, than apply into the LCM equation.

GCF(946,953) = 1
LCM(946,953) = ( 946 × 953) / 1
LCM(946,953) = 901538 / 1
LCM(946,953) = 901538

Least Common Multiple (LCM) of 946 and 953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 946 and 953. First we will calculate the prime factors of 946 and 953.

Prime Factorization of 946

Prime factors of 946 are 2, 11, 43. Prime factorization of 946 in exponential form is:

946 = 21 × 111 × 431

Prime Factorization of 953

Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:

953 = 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 946 and 953.

LCM(946,953) = 21 × 111 × 431 × 9531
LCM(946,953) = 901538