What is the Least Common Multiple of 44187 and 44207?
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 44187 and 44207 is 1953374709.
LCM(44187,44207) = 1953374709
Least Common Multiple of 44187 and 44207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44187 and 44207, than apply into the LCM equation.
GCF(44187,44207) = 1
LCM(44187,44207) = ( 44187 × 44207) / 1
LCM(44187,44207) = 1953374709 / 1
LCM(44187,44207) = 1953374709
Least Common Multiple (LCM) of 44187 and 44207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44187 and 44207. First we will calculate the prime factors of 44187 and 44207.
Prime Factorization of 44187
Prime factors of 44187 are 3, 11, 13, 103. Prime factorization of 44187 in exponential form is:
44187 = 31 × 111 × 131 × 1031
Prime Factorization of 44207
Prime factors of 44207 are 44207. Prime factorization of 44207 in exponential form is:
44207 = 442071
Now multiplying the highest exponent prime factors to calculate the LCM of 44187 and 44207.
LCM(44187,44207) = 31 × 111 × 131 × 1031 × 442071
LCM(44187,44207) = 1953374709
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