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What is the Least Common Multiple of 1942 and 1962?

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 1942 and 1962 is 1905102.

LCM(1942,1962) = 1905102

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Least Common Multiple of 1942 and 1962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1942 and 1962, than apply into the LCM equation.

GCF(1942,1962) = 2
LCM(1942,1962) = ( 1942 × 1962) / 2
LCM(1942,1962) = 3810204 / 2
LCM(1942,1962) = 1905102

Least Common Multiple (LCM) of 1942 and 1962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1942 and 1962. First we will calculate the prime factors of 1942 and 1962.

Prime Factorization of 1942

Prime factors of 1942 are 2, 971. Prime factorization of 1942 in exponential form is:

1942 = 21 × 9711

Prime Factorization of 1962

Prime factors of 1962 are 2, 3, 109. Prime factorization of 1962 in exponential form is:

1962 = 21 × 32 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1942 and 1962.

LCM(1942,1962) = 21 × 9711 × 32 × 1091
LCM(1942,1962) = 1905102