What is the Least Common Multiple of 30572 and 30577?
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 30572 and 30577 is 934800044.
LCM(30572,30577) = 934800044
Least Common Multiple of 30572 and 30577 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30572 and 30577, than apply into the LCM equation.
GCF(30572,30577) = 1
LCM(30572,30577) = ( 30572 × 30577) / 1
LCM(30572,30577) = 934800044 / 1
LCM(30572,30577) = 934800044
Least Common Multiple (LCM) of 30572 and 30577 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30572 and 30577. First we will calculate the prime factors of 30572 and 30577.
Prime Factorization of 30572
Prime factors of 30572 are 2, 7643. Prime factorization of 30572 in exponential form is:
30572 = 22 × 76431
Prime Factorization of 30577
Prime factors of 30577 are 30577. Prime factorization of 30577 in exponential form is:
30577 = 305771
Now multiplying the highest exponent prime factors to calculate the LCM of 30572 and 30577.
LCM(30572,30577) = 22 × 76431 × 305771
LCM(30572,30577) = 934800044
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