What is the Least Common Multiple of 61232 and 61247?
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 61232 and 61247 is 3750276304.
LCM(61232,61247) = 3750276304
Least Common Multiple of 61232 and 61247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61232 and 61247, than apply into the LCM equation.
GCF(61232,61247) = 1
LCM(61232,61247) = ( 61232 × 61247) / 1
LCM(61232,61247) = 3750276304 / 1
LCM(61232,61247) = 3750276304
Least Common Multiple (LCM) of 61232 and 61247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61232 and 61247. First we will calculate the prime factors of 61232 and 61247.
Prime Factorization of 61232
Prime factors of 61232 are 2, 43, 89. Prime factorization of 61232 in exponential form is:
61232 = 24 × 431 × 891
Prime Factorization of 61247
Prime factors of 61247 are 73, 839. Prime factorization of 61247 in exponential form is:
61247 = 731 × 8391
Now multiplying the highest exponent prime factors to calculate the LCM of 61232 and 61247.
LCM(61232,61247) = 24 × 431 × 891 × 731 × 8391
LCM(61232,61247) = 3750276304
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