What is the Least Common Multiple of 45562 and 45570?
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 45562 and 45570 is 1038130170.
LCM(45562,45570) = 1038130170
Least Common Multiple of 45562 and 45570 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45562 and 45570, than apply into the LCM equation.
GCF(45562,45570) = 2
LCM(45562,45570) = ( 45562 × 45570) / 2
LCM(45562,45570) = 2076260340 / 2
LCM(45562,45570) = 1038130170
Least Common Multiple (LCM) of 45562 and 45570 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45562 and 45570. First we will calculate the prime factors of 45562 and 45570.
Prime Factorization of 45562
Prime factors of 45562 are 2, 11, 19, 109. Prime factorization of 45562 in exponential form is:
45562 = 21 × 111 × 191 × 1091
Prime Factorization of 45570
Prime factors of 45570 are 2, 3, 5, 7, 31. Prime factorization of 45570 in exponential form is:
45570 = 21 × 31 × 51 × 72 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 45562 and 45570.
LCM(45562,45570) = 21 × 111 × 191 × 1091 × 31 × 51 × 72 × 311
LCM(45562,45570) = 1038130170
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