What is the Least Common Multiple of 61070 and 61077?
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 61070 and 61077 is 3729972390.
LCM(61070,61077) = 3729972390
Least Common Multiple of 61070 and 61077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61070 and 61077, than apply into the LCM equation.
GCF(61070,61077) = 1
LCM(61070,61077) = ( 61070 × 61077) / 1
LCM(61070,61077) = 3729972390 / 1
LCM(61070,61077) = 3729972390
Least Common Multiple (LCM) of 61070 and 61077 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61070 and 61077. First we will calculate the prime factors of 61070 and 61077.
Prime Factorization of 61070
Prime factors of 61070 are 2, 5, 31, 197. Prime factorization of 61070 in exponential form is:
61070 = 21 × 51 × 311 × 1971
Prime Factorization of 61077
Prime factors of 61077 are 3, 20359. Prime factorization of 61077 in exponential form is:
61077 = 31 × 203591
Now multiplying the highest exponent prime factors to calculate the LCM of 61070 and 61077.
LCM(61070,61077) = 21 × 51 × 311 × 1971 × 31 × 203591
LCM(61070,61077) = 3729972390
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