What is the Least Common Multiple of 59752 and 59768?
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 59752 and 59768 is 446407192.
LCM(59752,59768) = 446407192
Least Common Multiple of 59752 and 59768 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59752 and 59768, than apply into the LCM equation.
GCF(59752,59768) = 8
LCM(59752,59768) = ( 59752 × 59768) / 8
LCM(59752,59768) = 3571257536 / 8
LCM(59752,59768) = 446407192
Least Common Multiple (LCM) of 59752 and 59768 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59752 and 59768. First we will calculate the prime factors of 59752 and 59768.
Prime Factorization of 59752
Prime factors of 59752 are 2, 7, 11, 97. Prime factorization of 59752 in exponential form is:
59752 = 23 × 71 × 111 × 971
Prime Factorization of 59768
Prime factors of 59768 are 2, 31, 241. Prime factorization of 59768 in exponential form is:
59768 = 23 × 311 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 59752 and 59768.
LCM(59752,59768) = 23 × 71 × 111 × 971 × 311 × 2411
LCM(59752,59768) = 446407192
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