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What is the Least Common Multiple of 61956 and 61973?

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 61956 and 61973 is 3839599188.

LCM(61956,61973) = 3839599188

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Least Common Multiple of 61956 and 61973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61956 and 61973, than apply into the LCM equation.

GCF(61956,61973) = 1
LCM(61956,61973) = ( 61956 × 61973) / 1
LCM(61956,61973) = 3839599188 / 1
LCM(61956,61973) = 3839599188

Least Common Multiple (LCM) of 61956 and 61973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61956 and 61973. First we will calculate the prime factors of 61956 and 61973.

Prime Factorization of 61956

Prime factors of 61956 are 2, 3, 1721. Prime factorization of 61956 in exponential form is:

61956 = 22 × 32 × 17211

Prime Factorization of 61973

Prime factors of 61973 are 29, 2137. Prime factorization of 61973 in exponential form is:

61973 = 291 × 21371

Now multiplying the highest exponent prime factors to calculate the LCM of 61956 and 61973.

LCM(61956,61973) = 22 × 32 × 17211 × 291 × 21371
LCM(61956,61973) = 3839599188