What is the Least Common Multiple of 44671 and 44680?
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 44671 and 44680 is 1995900280.
LCM(44671,44680) = 1995900280
Least Common Multiple of 44671 and 44680 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44671 and 44680, than apply into the LCM equation.
GCF(44671,44680) = 1
LCM(44671,44680) = ( 44671 × 44680) / 1
LCM(44671,44680) = 1995900280 / 1
LCM(44671,44680) = 1995900280
Least Common Multiple (LCM) of 44671 and 44680 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44671 and 44680. First we will calculate the prime factors of 44671 and 44680.
Prime Factorization of 44671
Prime factors of 44671 are 11, 31, 131. Prime factorization of 44671 in exponential form is:
44671 = 111 × 311 × 1311
Prime Factorization of 44680
Prime factors of 44680 are 2, 5, 1117. Prime factorization of 44680 in exponential form is:
44680 = 23 × 51 × 11171
Now multiplying the highest exponent prime factors to calculate the LCM of 44671 and 44680.
LCM(44671,44680) = 111 × 311 × 1311 × 23 × 51 × 11171
LCM(44671,44680) = 1995900280
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