What is the Least Common Multiple of 60488 and 60505?
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 60488 and 60505 is 3659826440.
LCM(60488,60505) = 3659826440
Least Common Multiple of 60488 and 60505 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60488 and 60505, than apply into the LCM equation.
GCF(60488,60505) = 1
LCM(60488,60505) = ( 60488 × 60505) / 1
LCM(60488,60505) = 3659826440 / 1
LCM(60488,60505) = 3659826440
Least Common Multiple (LCM) of 60488 and 60505 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60488 and 60505. First we will calculate the prime factors of 60488 and 60505.
Prime Factorization of 60488
Prime factors of 60488 are 2, 7561. Prime factorization of 60488 in exponential form is:
60488 = 23 × 75611
Prime Factorization of 60505
Prime factors of 60505 are 5, 12101. Prime factorization of 60505 in exponential form is:
60505 = 51 × 121011
Now multiplying the highest exponent prime factors to calculate the LCM of 60488 and 60505.
LCM(60488,60505) = 23 × 75611 × 51 × 121011
LCM(60488,60505) = 3659826440
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