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What is the Least Common Multiple of 1953 and 1970?

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 1953 and 1970 is 3847410.

LCM(1953,1970) = 3847410

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Least Common Multiple of 1953 and 1970 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 1970, than apply into the LCM equation.

GCF(1953,1970) = 1
LCM(1953,1970) = ( 1953 × 1970) / 1
LCM(1953,1970) = 3847410 / 1
LCM(1953,1970) = 3847410

Least Common Multiple (LCM) of 1953 and 1970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1953 and 1970. First we will calculate the prime factors of 1953 and 1970.

Prime Factorization of 1953

Prime factors of 1953 are 3, 7, 31. Prime factorization of 1953 in exponential form is:

1953 = 32 × 71 × 311

Prime Factorization of 1970

Prime factors of 1970 are 2, 5, 197. Prime factorization of 1970 in exponential form is:

1970 = 21 × 51 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 1953 and 1970.

LCM(1953,1970) = 32 × 71 × 311 × 21 × 51 × 1971
LCM(1953,1970) = 3847410