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What is the Least Common Multiple of 61979 and 61991?

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 61979 and 61991 is 3842140189.

LCM(61979,61991) = 3842140189

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Least Common Multiple of 61979 and 61991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61979 and 61991, than apply into the LCM equation.

GCF(61979,61991) = 1
LCM(61979,61991) = ( 61979 × 61991) / 1
LCM(61979,61991) = 3842140189 / 1
LCM(61979,61991) = 3842140189

Least Common Multiple (LCM) of 61979 and 61991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61979 and 61991. First we will calculate the prime factors of 61979 and 61991.

Prime Factorization of 61979

Prime factors of 61979 are 61979. Prime factorization of 61979 in exponential form is:

61979 = 619791

Prime Factorization of 61991

Prime factors of 61991 are 61991. Prime factorization of 61991 in exponential form is:

61991 = 619911

Now multiplying the highest exponent prime factors to calculate the LCM of 61979 and 61991.

LCM(61979,61991) = 619791 × 619911
LCM(61979,61991) = 3842140189