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What is the Least Common Multiple of 61961 and 61979?

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 61961 and 61979 is 3840280819.

LCM(61961,61979) = 3840280819

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Least Common Multiple of 61961 and 61979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61961 and 61979, than apply into the LCM equation.

GCF(61961,61979) = 1
LCM(61961,61979) = ( 61961 × 61979) / 1
LCM(61961,61979) = 3840280819 / 1
LCM(61961,61979) = 3840280819

Least Common Multiple (LCM) of 61961 and 61979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61961 and 61979. First we will calculate the prime factors of 61961 and 61979.

Prime Factorization of 61961

Prime factors of 61961 are 61961. Prime factorization of 61961 in exponential form is:

61961 = 619611

Prime Factorization of 61979

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

61979 = 619791

Now multiplying the highest exponent prime factors to calculate the LCM of 61961 and 61979.

LCM(61961,61979) = 619611 × 619791
LCM(61961,61979) = 3840280819