What is the Least Common Multiple of 60520 and 60526?
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 60520 and 60526 is 1831516760.
LCM(60520,60526) = 1831516760
Least Common Multiple of 60520 and 60526 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60520 and 60526, than apply into the LCM equation.
GCF(60520,60526) = 2
LCM(60520,60526) = ( 60520 × 60526) / 2
LCM(60520,60526) = 3663033520 / 2
LCM(60520,60526) = 1831516760
Least Common Multiple (LCM) of 60520 and 60526 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60520 and 60526. First we will calculate the prime factors of 60520 and 60526.
Prime Factorization of 60520
Prime factors of 60520 are 2, 5, 17, 89. Prime factorization of 60520 in exponential form is:
60520 = 23 × 51 × 171 × 891
Prime Factorization of 60526
Prime factors of 60526 are 2, 53, 571. Prime factorization of 60526 in exponential form is:
60526 = 21 × 531 × 5711
Now multiplying the highest exponent prime factors to calculate the LCM of 60520 and 60526.
LCM(60520,60526) = 23 × 51 × 171 × 891 × 531 × 5711
LCM(60520,60526) = 1831516760
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