What is the Least Common Multiple of 61979 and 61983?
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 61983 is 3841644357.
LCM(61979,61983) = 3841644357
Least Common Multiple of 61979 and 61983 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 61983, than apply into the LCM equation.
GCF(61979,61983) = 1
LCM(61979,61983) = ( 61979 × 61983) / 1
LCM(61979,61983) = 3841644357 / 1
LCM(61979,61983) = 3841644357
Least Common Multiple (LCM) of 61979 and 61983 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61979 and 61983. First we will calculate the prime factors of 61979 and 61983.
Prime Factorization of 61979
Prime factors of 61979 are 61979. Prime factorization of 61979 in exponential form is:
61979 = 619791
Prime Factorization of 61983
Prime factors of 61983 are 3, 71, 97. Prime factorization of 61983 in exponential form is:
61983 = 32 × 711 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 61979 and 61983.
LCM(61979,61983) = 619791 × 32 × 711 × 971
LCM(61979,61983) = 3841644357
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