What is the Least Common Multiple of 61153 and 61159?
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 61153 and 61159 is 3740056327.
LCM(61153,61159) = 3740056327
Least Common Multiple of 61153 and 61159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61153 and 61159, than apply into the LCM equation.
GCF(61153,61159) = 1
LCM(61153,61159) = ( 61153 × 61159) / 1
LCM(61153,61159) = 3740056327 / 1
LCM(61153,61159) = 3740056327
Least Common Multiple (LCM) of 61153 and 61159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61153 and 61159. First we will calculate the prime factors of 61153 and 61159.
Prime Factorization of 61153
Prime factors of 61153 are 61153. Prime factorization of 61153 in exponential form is:
61153 = 611531
Prime Factorization of 61159
Prime factors of 61159 are 7, 8737. Prime factorization of 61159 in exponential form is:
61159 = 71 × 87371
Now multiplying the highest exponent prime factors to calculate the LCM of 61153 and 61159.
LCM(61153,61159) = 611531 × 71 × 87371
LCM(61153,61159) = 3740056327
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